Estimation of Stress Strength Reliability in Single Component Models for Different Distributions
Nafeesa Bashir *
Department of Statistics, University of Kashmir, Jammu and Kashmir, India.
Raeesa Bashir
Department of Mathematics and Quantitative Analysis, Amity University, Dubai, UAE.
T. R. Jan
Department of Statistics, University of Kashmir, Jammu and Kashmir, India.
Shakeel A. Mir
Division of Agricultural Statistics, SKUAST-K, Jammu and Kashmir, India.
*Author to whom correspondence should be addressed.
Abstract
This paper aims to estimate the stress-strength reliability parameter R = P(Y < X), considering the two different cases of stress strength parameters, when the strength ‘X’ follows exponentiated inverse power Lindley distribution ,extended inverse Lindley and Stress ‘Y’ follows inverse power Lindley distribution and inverse Lindley distribution. The method of maximum likelihood estimation is used to obtain the reliability estimators. Illustrations are provided using R programming.
Keywords: Lindley distribution (LD), Inverse Lindley distribution (ILD), Inverse Power Lindley distribution (IPLD), Extended Inverse Lindley distribution (EILD), Exponentiated Inverse Power Lindley distribution (EIPLD), Maximum likelihood estimator (MLE).